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Simplifying -2(7x + -6) + 3(5x + -6) + -7 = 5 + -6 Reorder the terms: -2(-6 + 7x) + 3(5x + -6) + -7 = 5 + -6 (-6 * -2 + 7x * -2) + 3(5x + -6) + -7 = 5 + -6 (12 + -14x) + 3(5x + -6) + -7 = 5 + -6 Reorder the terms: 12 + -14x + 3(-6 + 5x) + -7 = 5 + -6 12 + -14x + (-6 * 3 + 5x * 3) + -7 = 5 + -6 12 + -14x + (-18 + 15x) + -7 = 5 + -6 Reorder the terms: 12 + -18 + -7 + -14x + 15x = 5 + -6 Combine like terms: 12 + -18 = -6 -6 + -7 + -14x + 15x = 5 + -6 Combine like terms: -6 + -7 = -13 -13 + -14x + 15x = 5 + -6 Combine like terms: -14x + 15x = 1x -13 + 1x = 5 + -6 Combine like terms: 5 + -6 = -1 -13 + 1x = -1 Solving -13 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1x = -1 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -1 + 13 1x = -1 + 13 Combine like terms: -1 + 13 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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